Question

<1 and <2 are verlical angles. If m<1 =
(5x + 12) and m2 = (6x - 11)", find <1).

Answer 1

m<1 = 127°

Explanation:

Vertical Opposite angles are always equal .

So as <1 & <2 are vertically opposite angles ,

m<1 = m<2

It's given that m<1 = 5x + 12 & m<2 = (6x - 11)

So ,

`5x + 12 = 6x - 11`

`= > 6x - 5x = 12 + 11`

`= > x = 23`

As the value of x = 23 , m<1 = 5x + 12

= 5×23 + 12

= 115 + 12

= 127°